pbat::geometry::DistanceQueries Namespace Reference

This namespace contains functions to answer distance queries. More...

Functions
template<mini::CMatrix TMatrixL1, mini::CMatrix TMatrixU1, mini::CMatrix TMatrixL2, mini::CMatrix TMatrixU2>
PBAT_HOST_DEVICE auto	AxisAlignedBoundingBoxes (TMatrixL1 const &L1, TMatrixU1 const &U1, TMatrixL2 const &L2, TMatrixU2 const &U2) -> typename TMatrixL1::ScalarType
	Obtain squared distance between 2 axis-aligned bounding boxes.
template<mini::CMatrix TMatrixP, mini::CMatrix TMatrixL, mini::CMatrix TMatrixU>
PBAT_HOST_DEVICE auto	PointAxisAlignedBoundingBox (TMatrixP const &P, TMatrixL const &L, TMatrixU const &U) -> typename TMatrixP::ScalarType
	Obtain squared distance between point P and axis-aligned box (L,U)
template<mini::CMatrix TMatrixP, mini::CMatrix TMatrixA, mini::CMatrix TMatrixB, mini::CMatrix TMatrixC>
PBAT_HOST_DEVICE auto	PointTriangle (TMatrixP const &P, TMatrixA const &A, TMatrixB const &B, TMatrixC const &C) -> typename TMatrixP::ScalarType
	Obtain squared distance between point P and triangle ABC.
template<mini::CMatrix TMatrixP, mini::CMatrix TMatrixA, mini::CMatrix TMatrixB, mini::CMatrix TMatrixC, mini::CMatrix TMatrixD>
PBAT_HOST_DEVICE auto	PointTetrahedron (TMatrixP const &P, TMatrixA const &A, TMatrixB const &B, TMatrixC const &C, TMatrixD const &D) -> typename TMatrixP::ScalarType
	Obtain squared distance between point P and tetrahedron ABCD.
template<mini::CMatrix TMatrixX, mini::CMatrix TMatrixP, mini::CMatrix TMatrixN>
PBAT_HOST_DEVICE auto	PointPlane (TMatrixX const &X, TMatrixP const &P, TMatrixN const &n) -> typename TMatrixX::ScalarType
	Obtains the signed distance of X w.r.t. plane (P,n)
template<mini::CMatrix TMatrixX, mini::CMatrix TMatrixA, mini::CMatrix TMatrixB, mini::CMatrix TMatrixC>
PBAT_HOST_DEVICE auto	PointPlane (TMatrixX const &X, TMatrixA const &A, TMatrixB const &B, TMatrixC const &C) -> typename TMatrixX::ScalarType
	Obtains the signed distance of X w.r.t. plane spanned by ABC.
template<mini::CMatrix TMatrixX, mini::CMatrix TMatrixA, mini::CMatrix TMatrixB, mini::CMatrix TMatrixC>
PBAT_HOST_DEVICE auto	SphereTriangle (TMatrixX const &X, typename TMatrixX::ScalarType R, TMatrixA const &A, TMatrixB const &B, TMatrixC const &C) -> typename TMatrixX::ScalarType
	Obtains the squared distance between sphere (X,R) and triangle ABC.

Detailed Description

This namespace contains functions to answer distance queries.

Function Documentation

AxisAlignedBoundingBoxes()

template<mini::CMatrix TMatrixL1, mini::CMatrix TMatrixU1, mini::CMatrix TMatrixL2, mini::CMatrix TMatrixU2>

PBAT_HOST_DEVICE auto pbat::geometry::DistanceQueries::AxisAlignedBoundingBoxes	(	TMatrixL1 const &	L1,
		TMatrixU1 const &	U1,
		TMatrixL2 const &	L2,
		TMatrixU2 const &	U2 ) -> typename TMatrixL1::ScalarType

Obtain squared distance between 2 axis-aligned bounding boxes.

Template Parameters

TMatrixL1	1st AABB's lower corner matrix type
TMatrixU1	1st AABB's upper corner matrix type
TMatrixL2	2nd AABB's lower corner matrix type
TMatrixU2	2nd AABB's upper corner matrix type

Parameters

L1	1st AABB's lower corner
U1	1st AABB's upper corner
L2	2nd AABB's lower corner
U2	2nd AABB's upper corner

Returns

Squared distance between the 2 AABBs

PointAxisAlignedBoundingBox()

template<mini::CMatrix TMatrixP, mini::CMatrix TMatrixL, mini::CMatrix TMatrixU>

PBAT_HOST_DEVICE auto pbat::geometry::DistanceQueries::PointAxisAlignedBoundingBox	(	TMatrixP const &	P,
		TMatrixL const &	L,
		TMatrixU const &	U ) -> typename TMatrixP::ScalarType

Obtain squared distance between point P and axis-aligned box (L,U)

Template Parameters

TMatrixP	Point matrix type
TMatrixL	Lower corner matrix type
TMatrixU	Upper corner matrix type

Parameters

P	Point
L	Lower corner of the box
U	Upper corner of the box

Returns

Squared distance between point and box

PointPlane() [1/2]

template<mini::CMatrix TMatrixX, mini::CMatrix TMatrixA, mini::CMatrix TMatrixB, mini::CMatrix TMatrixC>

PBAT_HOST_DEVICE auto pbat::geometry::DistanceQueries::PointPlane	(	TMatrixX const &	X,
		TMatrixA const &	A,
		TMatrixB const &	B,
		TMatrixC const &	C ) -> typename TMatrixX::ScalarType

Obtains the signed distance of X w.r.t. plane spanned by ABC.

Template Parameters

TMatrixX	Query point matrix type
TMatrixA	Vertex A of the triangle in plane matrix type
TMatrixB	Vertex B of the triangle in plane matrix type
TMatrixC	Vertex C of the triangle in plane matrix type

Parameters

X	Query point
A	Vertex A of the triangle in plane
B	Vertex B of the triangle in plane
C	Vertex C of the triangle in plane

Returns

Signed distance of X w.r.t. plane spanned by ABC

PointPlane() [2/2]

template<mini::CMatrix TMatrixX, mini::CMatrix TMatrixP, mini::CMatrix TMatrixN>

PBAT_HOST_DEVICE auto pbat::geometry::DistanceQueries::PointPlane	(	TMatrixX const &	X,
		TMatrixP const &	P,
		TMatrixN const &	n ) -> typename TMatrixX::ScalarType

Obtains the signed distance of X w.r.t. plane (P,n)

Template Parameters

TMatrixX	Query point matrix type
TMatrixP	Point on the plane matrix type
TMatrixN	Normal of the plane matrix type

Parameters

X	Query point
P	Point on the plane
n	Normal of the plane

Returns

Signed distance of X w.r.t. plane (P,n)

PointTetrahedron()

template<mini::CMatrix TMatrixP, mini::CMatrix TMatrixA, mini::CMatrix TMatrixB, mini::CMatrix TMatrixC, mini::CMatrix TMatrixD>

PBAT_HOST_DEVICE auto pbat::geometry::DistanceQueries::PointTetrahedron	(	TMatrixP const &	P,
		TMatrixA const &	A,
		TMatrixB const &	B,
		TMatrixC const &	C,
		TMatrixD const &	D ) -> typename TMatrixP::ScalarType

Obtain squared distance between point P and tetrahedron ABCD.

Template Parameters

TMatrixP	Point matrix type
TMatrixA	Vertex A matrix type
TMatrixB	Vertex B matrix type
TMatrixC	Vertex C matrix type
TMatrixD	Vertex D matrix type

Parameters

P	Point
A	Vertex A of the tetrahedron
B	Vertex B of the tetrahedron
C	Vertex C of the tetrahedron
D	Vertex D of the tetrahedron

Returns

Squared distance between point and tetrahedron

PointTriangle()

template<mini::CMatrix TMatrixP, mini::CMatrix TMatrixA, mini::CMatrix TMatrixB, mini::CMatrix TMatrixC>

PBAT_HOST_DEVICE auto pbat::geometry::DistanceQueries::PointTriangle	(	TMatrixP const &	P,
		TMatrixA const &	A,
		TMatrixB const &	B,
		TMatrixC const &	C ) -> typename TMatrixP::ScalarType

Obtain squared distance between point P and triangle ABC.

Template Parameters

TMatrixP	Point matrix type
TMatrixA	Vertex A matrix type
TMatrixB	Vertex B matrix type
TMatrixC	Vertex C matrix type

Parameters

P	Point
A	Vertex A of the triangle
B	Vertex B of the triangle
C	Vertex C of the triangle

Returns

Squared distance between point and triangle

SphereTriangle()

template<mini::CMatrix TMatrixX, mini::CMatrix TMatrixA, mini::CMatrix TMatrixB, mini::CMatrix TMatrixC>

PBAT_HOST_DEVICE auto pbat::geometry::DistanceQueries::SphereTriangle	(	TMatrixX const &	X,
		typename TMatrixX::ScalarType	R,
		TMatrixA const &	A,
		TMatrixB const &	B,
		TMatrixC const &	C ) -> typename TMatrixX::ScalarType

Obtains the squared distance between sphere (X,R) and triangle ABC.

Template Parameters

TMatrixX	Sphere center matrix type
TMatrixA	Triangle vertex A matrix type
TMatrixB	Triangle vertex B matrix type
TMatrixC	Triangle vertex C matrix type

Parameters

X	Sphere center
R	Sphere radius
A	Vertex A of the triangle
B	Vertex B of the triangle
C	Vertex C of the triangle

Returns

Squared distance between sphere and triangle